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1328904972 = 223250237349
BaseRepresentation
bin100111100110101…
…0111101100001100
310102121120100220200
41033031113230030
510210144424342
6335511013500
744634335343
oct11715275414
93377510820
101328904972
1162214aa7a
1231106a290
13182418705
14c86c6b5a
157b9ee94c
hex4f357b0c

1328904972 has 36 divisors (see below), whose sum is σ = 3360302400. Its totient is φ = 442819872.

The previous prime is 1328904959. The next prime is 1328904979. The reversal of 1328904972 is 2794098231.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1328904979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177154 + ... + 184502.

Almost surely, 21328904972 is an apocalyptic number.

1328904972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1328904972 is an abundant number, since it is smaller than the sum of its proper divisors (2031397428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1328904972 is a wasteful number, since it uses less digits than its factorization.

1328904972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12382 (or 12377 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1328904972 is about 36454.1488996794. The cubic root of 1328904972 is about 1099.4225542227.

The spelling of 1328904972 in words is "one billion, three hundred twenty-eight million, nine hundred four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 5023 7349 10046 14698 15069 20092 22047 29396 30138 44094 45207 60276 66141 88188 90414 132282 180828 264564 36914027 73828054 110742081 147656108 221484162 332226243 442968324 664452486 1328904972